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Finding the Fourth Proportional to 1,648.72, 2,473 and 416.12

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Solution

The fourth proportional to 1,648.72, 2,473 and 416.12 is: 624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.72 : 2,473 = 416.12 : x
  2. Step 2: Convert to fraction form
    1,648.72/2,473 = 416.12/x
  3. Step 3: Cross multiply
    1,648.72x = 2,473 × 416.12
  4. Step 4: Simplify right side
    1,648.72x = 1,029,064.76
  5. Step 5: Solve for x
    x = 1,029,064.76/1,648.72
  6. Step 6: Final answer
    x = 624.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.